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Finding the Fourth Proportional to 424,452.84, 585,733.40 and 240,725.12

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Solution

The fourth proportional to 424,452.84, 585,733.40 and 240,725.12 is: 332,194.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,452.84 : 585,733.40 = 240,725.12 : x
  2. Step 2: Convert to fraction form
    424,452.84/585,733.40 = 240,725.12/x
  3. Step 3: Cross multiply
    424,452.84x = 585,733.40 × 240,725.12
  4. Step 4: Simplify right side
    424,452.84x = 141,000,743,003.01
  5. Step 5: Solve for x
    x = 141,000,743,003.01/424,452.84
  6. Step 6: Final answer
    x = 332,194.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.